Tunneling into fractional quantum Hall liquids

Abstract

Motivated by the recent experiment by Grayson et.al., we investigate a non-ohmic current-voltage characteristics for the tunneling into fractional quantum Hall liquids. We give a possible explanation for the experiment in terms of the chiral Tomonaga-Luttinger liquid theory. We study the interaction between the charge and neutral modes, and found that the leading order correction to the exponent $\alpha$ $(I\sim V^{\alpha })$ is of the order of $\sqrt{\epsilon }$ $(\epsilon =v_n/v_c)$, which reduces the exponent $\alpha$. We suggest that it could explain the systematic discrepancy between the observed exponents and the exact $\alpha =1/\nu$ dependence.

Latex, 5 pages

References in corpus (2)

• Tunneling into the edge of a compressible Quantum Hall state
• Quantum transport in $\nu =2/3$ spin-singlet quantum Hall edges

Cited by in corpus (1)

• Instanton method for the electron propagator